I think the correct answer is no. Hua Hin doesn't have one, they have many. I think it would be easier if you advised your location within Hua Hin, and people will steer you towards a pharmacy near you.

Pharmacies literally everywhere here, as many of them as there are massage, laundry and beauty salons. I have a few preferred ones but depends where you are. One on the road behind clock tower, cheap, big and good English. One on road right on top of 94 vERy helpful and very good English. Big Chinese one on main road, rude staff but sell EVERYTHING.

if you are specifically looking for a pharmacy like the ones you mentioned,there is a Fascimo in market village close to tesco lotus,also a Fascimo on basement level of Blueport Mall.
I find a packet of 10 baht "Tiffy",2 tablets in morning 2 at night ,along with a couple of hot toddies does the trick.[whisky,hot water,sugar].

There are literally dozens of pharmacies in Hua Hin. If you're looking for a 'big' one, various major pharmacies are represented in the Market Village and BluPort Malls, where in addition to Fascino which was already mentioned, there are Boots and Watsons pharmacies as well. As for talking to a pharmacist, all the major chains have pharmacists on duty most of the time (occasionally if you go in around mid-day the pharmacist might be on lunch break but they're usually there). Out on Petchkasem road there are loads of pharmacies - on average I'd say one about every 1-200 metres or so. There's definitely no lack of choice.

Many pharmaceutical products require constant storing at or below a certain temperature ( most seem to be 25 deg c) so the pharmacies in the larger malls could be a safer bet than the local corner ones especially if your meds are temp sensitive.
One small shop in Cha-Am I have used for basics rarely has the a/c on during the day and I'm pretty sure it's off evenings too.

The means may be likened to a seed ,the end to a tree;
And there is just the same inviolable connection between the means and the end
as there is between the seed and the tree.
............. Mohandas Karamchand GANDHI

Lab pharmacy in Bluport, next to Bread Talk on the ground floor is good, if not cheap. They seem to stock stuff others don't, well that's my experience when compared with the others there and in MV. There's also a good well stocked pharmacy in the night market soi that backs onto Chat Chai Market. What I liked there was the fact that without prompting, they offered to order what I was looking for, that they didn't otherwise usually stock.

Thanks for the suggestion above about independent large pharmacies that stock everything - I will put them to the test!

With a bit of hunting around, I can generally find what I need, but the cost here is a killer. I still have Korat prices in my mind and can't help but compare and generally shake my head in disbelief at what I have found here.

I agree with the above comments. Best can be pretty subjective and depends on individual requirements and preferences but there are definitely plenty of good, reliable ones in Hua Hin. I have used Fascino and frequently use Watsons.